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Jeopardy - Mrs. Carrigan's Math Questions

Test your knowledge of inverse function operations, recursive composition, and functions in this Jeopardy-style quiz hosted by Mrs. Carrigan. Solve problems, evaluate functions, and find inverses to earn points!

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Jeopardy - Mrs. Carrigan's Math Questions

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  1. Jeopardy Hosted By Mrs. Carrigan

  2. Inverse Function Operation Recursive Compo-sition Functions 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500

  3. Row 1, Col 1 What is x=1 or x= - 1/3 Solve. -2|3x - 1| = -4

  4. 1,2 What is -7? If f(x) = 3x -4 and g(x) = -x + 1, find f[g(2)].

  5. 1,3 What is ½x - ½? Find the inverse of f(x)=2x +1.

  6. 1,4 What is 5x+5? If f(x)=x+5, evaluate f(5x).

  7. 2,1 What is “no”? Is the following a function? (-2,1), (-1, 2), (6, 2), (-1, 8)

  8. 2,2 What is -6x + 10? If f(x) = 2x and g(x) = -3x + 5, find f[g(x)].

  9. 2,3 What is y = x? The equation of the line of symmetry for every function and its inverse.

  10. 2,4 What is 831? IF f(x)=x-7 and g(x)=2x+5, find 4[f(3)] + 7[g(3)]².

  11. 3,1 What is 1? Evaluate f(3) given f(x) = |-2x + 5|

  12. 3,2 What is 4x² + 31? If f(x) = 4x – 1 and g(x) = x² + 8, find f[g(x)].

  13. 3,3 What is “no”? Are f(x) = -3x-6 and g(x)=-¾x+2 inverse functions?

  14. 3,4 What are 5, 7, 9, 11? If f(0)=5 and f(n+1)=f(n) +2, find the first 4 terms of the recursively defined function.

  15. 4,1 What is x ≥ 5? The function h(x) = x2 + 5 has an inverse that is also a function. What would the domain of the inverse need to be restricted to? .

  16. 4,2 What is -276? If f(x) = -7x – 3 and g(x) = 2x, find f[f[g(-3)]].

  17. 4,3 What is 8? If f(x)=2x-8, find the value of w for which f(w-4)=0.

  18. 4,4 What are 4, 12, 36, 108? Find the first 4 terms of the recursive function f(1)=4 and f(n+1)=4[f(n)] – f(n).

  19. 5,1

  20. 5,2 What is 16x² - 8x + 9? If f(x) = 4x – 1 and g(x) = x² + 8, find g[f(x)].

  21. 5,3 What is 2x + 6? If f(x)=2x+3, evaluate f[f(x)] – f(x).

  22. 5,4 Find the first 5 terms of f(1)=13 and f(n+1) = f(n) – n + 3.

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